scholarly journals Projective Invariants of Projective Structures and Applications

2004 ◽  
pp. 23-27 ◽  
Author(s):  
David Mumford
Keyword(s):  
Projective Structures ◽  
Projective Invariants

scholarly journals Projective Invariants from Multiple Images: A Direct and Linear Method

2016 ◽  
Vol 2016 ◽  
pp. 1-14
Author(s):  
Yuanbin Wang ◽  
Xingwei Wang ◽  
Bin Zhang
Keyword(s):  
Direct Method ◽  
Linear Method ◽  
Direct Methods ◽  
System Of Nonlinear Equations ◽  
Projective Reconstruction ◽  
Projective Structures ◽  
Indirect Methods ◽  
Projective Invariants ◽  
First Time ◽  
2D Images

The projective reconstruction of 3D structures from 2D images is a central problem in computer vision. Existing methods for this problem are usually nonlinear or indirect. In the previous direct methods, we usually have to solve a system of nonlinear equations. They are very complicated and hard to implement. The previous linear indirect methods are usually imprecise. This paper presents a linear and direct method to derive projective structures of 3D points from their 2D images. Algorithms to compute projective invariants from two images, three images, and four images are given. The method is clear, simple, and easy to implement. For the first time in the literature, we present explicit linear formulas to solve this problem.Mathematicacodes are provided to demonstrate the correctness of the formulas.

scholarly journals Meromorphic projective structures, grafting and the monodromy map

2021 ◽  
Vol 383 ◽  
pp. 107673
Author(s):  
Subhojoy Gupta ◽  
Mahan Mj
Keyword(s):  
Projective Structures ◽  
Monodromy Map

scholarly journals Symplectic geometry of the moduli space of projective structures in homological coordinates

2017 ◽  
Vol 210 (3) ◽  
pp. 759-814 ◽  
Author(s):  
Marco Bertola ◽  
Dmitry Korotkin ◽  
Chaya Norton
Keyword(s):  
Moduli Space ◽  
Symplectic Geometry ◽  
Projective Structures
Sign in / Sign up

Export Citation Format

Share Document